6797935 divided by 966 
Our goal is to divide 6797935 by 966.

Let's proceed to step 1:
966 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 966

Step 2:
If we divide 67 by 966, we get 0 and a remainder of 67.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 67 and we're left with 67.
Bring next digit (9) of the dividend behind the 67 and repeat the process: 679 / 966

Step 3:
The number 966 fits into 679 0 times, leaving a remainder of 679.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 679 after subtracting 0 from 679.
Take the next digit (7) from the dividend and append it to 679, then repeat: 6797 / 966

Let's proceed to step 4:
966 goes into 6797 7 times with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 6762 from 6797 to get 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 966

Going ahead to step 5:
966 can be fit into 359 0 times, resulting in a remainder of 359.
Use 0 as the next digit of our solution. 
Result so far: 70.0
If we take 0 away from 359, we end up with 359.
Fetch the next digit (3) from the dividend, attach it to 359 and continue: 3593 / 966

Advancing to step 6:
If we divide 3593 by 966, we get 3 and a remainder of 695.
The number 3 becomes the next digit in our result. 
Result so far: 703.0
Subtracting 2898 from 3593 leaves us with 695.
Include the next digit (5) from the dividend after 695, then repeat: 6955 / 966

Advancing to step 7:
966 goes into 6955 7 times with a remainder of 193.
The next digit of our result is 7. 
Result so far: 7037.0
Subtract 6762 from 6955 to get 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

On to step 8:
When dividing 1930 by 966, we get 1 with a remainder of 964.
Put 1 as the next digit of the answer. 
Result so far: 7037.1
Subtracting 966 from 1930 leaves us with 964.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9640, and continue the process.

On to step 9:
966 goes into 9640 9 times with a remainder of 946.
Record the quotient 9 as the next digit in the result. 
Result so far: 7037.19
Subtract 8694 from 9640 to get 946.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9460, and continue the process.

Advancing to step 10:
If we divide 9460 by 966, we get 9 and a remainder of 766.
Use 9 as the next digit of our solution. 
Result so far: 7037.199
If we take 8694 away from 9460, we end up with 766.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7660, and continue the process.

The quotient of the division is 7037.199, and the remainder is 0.0766.